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Finding the Fourth Proportional to 141.50, 194.95 and 106.47

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Solution

The fourth proportional to 141.50, 194.95 and 106.47 is: 146.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.50 : 194.95 = 106.47 : x
  2. Step 2: Convert to fraction form
    141.50/194.95 = 106.47/x
  3. Step 3: Cross multiply
    141.50x = 194.95 × 106.47
  4. Step 4: Simplify right side
    141.50x = 20,756.33
  5. Step 5: Solve for x
    x = 20,756.33/141.50
  6. Step 6: Final answer
    x = 146.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.